The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁
We define certain extensions of Jacobi groups of A₁, prove an analogue of the Chevalley theorem for their invariants, and construct a Dubrovin-Frobenius structure on their orbit space.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211166 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁. Guilherme F. Almeida. SIGMA 17 (2021), 022, 39 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862654470340476928 |
|---|---|
| author | Almeida, Guilherme F. |
| author_facet | Almeida, Guilherme F. |
| citation_txt | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁. Guilherme F. Almeida. SIGMA 17 (2021), 022, 39 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We define certain extensions of Jacobi groups of A₁, prove an analogue of the Chevalley theorem for their invariants, and construct a Dubrovin-Frobenius structure on their orbit space.
|
| first_indexed | 2026-03-15T18:30:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211166 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T18:30:06Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Almeida, Guilherme F. 2025-12-25T13:20:16Z 2021 The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁. Guilherme F. Almeida. SIGMA 17 (2021), 022, 39 pages 1815-0659 2020 Mathematics Subject Classification: 53D45 arXiv:1907.01436 https://nasplib.isofts.kiev.ua/handle/123456789/211166 https://doi.org/10.3842/SIGMA.2021.022 We define certain extensions of Jacobi groups of A₁, prove an analogue of the Chevalley theorem for their invariants, and construct a Dubrovin-Frobenius structure on their orbit space. I am grateful to Professor Boris Dubrovin for proposing this problem, for his remarkable advice and guidance. I would also like to thank Professors Davide Guzzetti and Marco Bertola for helpful discussions and guidance on this paper. In addition, I thank the anonymous referees for their valuable comments and remarks, which have helped to improve the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ Article published earlier |
| spellingShingle | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ Almeida, Guilherme F. |
| title | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ |
| title_full | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ |
| title_fullStr | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ |
| title_full_unstemmed | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ |
| title_short | The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁ |
| title_sort | differential geometry of the orbit space of extended affine jacobi group a₁ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211166 |
| work_keys_str_mv | AT almeidaguilhermef thedifferentialgeometryoftheorbitspaceofextendedaffinejacobigroupa1 AT almeidaguilhermef differentialgeometryoftheorbitspaceofextendedaffinejacobigroupa1 |